Answer :

To determine the greatest common divisor (GCD) of the numbers 375 and 175, we follow these steps:

1. List the factors of each number:

- The factors of 375 are: 1, 3, 5, 15, 25, 75, 125, 375.
- The factors of 175 are: 1, 5, 7, 25, 35, 175.

2. Identify the common factors:

- The common factors between 375 and 175 are: 1, 5, and 25.

3. Determine the highest common factor:

- The greatest common divisor (GCD) of 375 and 175 is the highest number in the list of common factors, which is:
[tex]$ \boxed{25} $[/tex]